The subtitle is "The Story of a Ten-Minute Argument Between Two Great Philosophers" and yes, it really is a whole book about a shouting match between Karl Popper and Ludwig Wittgenstein, in which Wittgenstein may or may not have brandished a fire poker.
Well, it's a bit more than that, because not even the people who were there agree on the details. The book goes into the culture of Vienna between the two World Wars, and the contentious state of philosophy, and the simmering enmity between Popper (old money) and Wittgenstein (new money).
I got eighty pages in before deciding I really didn't care.